What is the Greatest Common Factor of 94662 and 94680?

Greatest common factor (GCF) of 94662 and 94680 is 18.

GCF(94662,94680) = 18

We will now calculate the prime factors of 94662 and 94680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94662 and 94680.

How to find the GCF of 94662 and 94680?

We will first find the prime factorization of 94662 and 94680. After we will calculate the factors of 94662 and 94680 and find the biggest common factor number .

Step-1: Prime Factorization of 94662

Prime factors of 94662 are 2, 3, 1753. Prime factorization of 94662 in exponential form is:

94662 = 2¹ × 3³ × 1753¹

Step-2: Prime Factorization of 94680

Prime factors of 94680 are 2, 3, 5, 263. Prime factorization of 94680 in exponential form is:

94680 = 2³ × 3² × 5¹ × 263¹

Step-3: Factors of 94662

List of positive integer factors of 94662 that divides 94662 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1753, 3506, 5259, 10518, 15777, 31554, 47331

Step-4: Factors of 94680

List of positive integer factors of 94680 that divides 94662 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 263, 360, 526, 789, 1052, 1315, 1578, 2104, 2367, 2630, 3156, 3945, 4734, 5260, 6312, 7890, 9468, 10520, 11835, 15780, 18936, 23670, 31560, 47340

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94662 and 94680. The biggest common factor number is the GCF number.
So the greatest common factor 94662 and 94680 is 18.

Also check out the Least Common Multiple of 94662 and 94680